415909080 has 224 divisors, whose sum is σ = 1487354400. Its totient is φ = 104260608.

The previous prime is 415909019. The next prime is 415909093. The reversal of 415909080 is 80909514.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 495301 + ... + 496139.

It is an arithmetic number, because the mean of its divisors is an integer number (6639975).

Almost surely, 2^415909080 is an apocalyptic number.

415909080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415909080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743677200).

415909080 is an abundant number, since it is smaller than the sum of its proper divisors (1071445320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

415909080 is a wasteful number, since it uses less digits than its factorization.

415909080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 415909080 is about 20393.8490726984. The cubic root of 415909080 is about 746.4478427992.

The spelling of 415909080 in words is "four hundred fifteen million, nine hundred nine thousand, eighty".